{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Surface plot\n",
    "\n",
    "Visualizations of three dimensional graphs is often difficult to interpret since it is not possible to interact with the chart to change perspective. As any plotly graph, the surface plot enables an interactive exploration of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "dotnet_interactive": {
     "language": "fsharp"
    },
    "vscode": {
     "languageId": "dotnet-interactive.fsharp"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><div></div><div></div><div><strong>Installed Packages</strong><ul><li><span>Plotly.NET.Interactive, 3.0.2</span></li></ul></div></div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "Loading extensions from `Plotly.NET.Interactive.dll`"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "// Referencing Plotly.NET.Interactive extension\n",
    "#r \"nuget: Plotly.NET.Interactive, 3.0.2\"\n",
    "\n",
    "open Plotly.NET\n",
    "open Plotly.NET.StyleParam\n",
    "open Plotly.NET.LayoutObjects\n",
    "open Plotly.NET.TraceObjects"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "dotnet_interactive": {
     "language": "fsharp"
    },
    "vscode": {
     "languageId": "dotnet-interactive.fsharp"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<div>\n",
       "    <div id=\"91658bc3-714d-473d-9da8-3b15af3757c0\"><!-- Plotly chart will be drawn inside this DIV --></div>\r\n",
       "<script type=\"text/javascript\">\r\n",
       "\r\n",
       "            var renderPlotly_91658bc3714d473d9da83b15af3757c0 = function() {\r\n",
       "            var fsharpPlotlyRequire = requirejs.config({context:'fsharp-plotly',paths:{plotly:'https://cdn.plot.ly/plotly-2.6.3.min'}}) || require;\r\n",
       "            fsharpPlotlyRequire(['plotly'], function(Plotly) {\r\n",
       "\r\n",
       "            var data = 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240, 248, 1.0)\"},\"line\":{\"color\":\"rgba(255, 255, 255, 1.0)\"}},\"header\":{\"fill\":{\"color\":\"rgba(200, 212, 227, 1.0)\"},\"line\":{\"color\":\"rgba(255, 255, 255, 1.0)\"}}}]}},\"scene\":{\"zaxis\":{\"title\":{\"text\":\"Amplitude\"},\"range\":[-5.0,5.0]}}};\r\n",
       "            var config = {\"responsive\":true,\"toImageButtonOptions\":{\"format\":\"svg\"}};\r\n",
       "            Plotly.newPlot('91658bc3-714d-473d-9da8-3b15af3757c0', data, layout, config);\r\n",
       "});\r\n",
       "            };\r\n",
       "            if ((typeof(requirejs) !==  typeof(Function)) || (typeof(requirejs.config) !== typeof(Function))) {\r\n",
       "                var script = document.createElement(\"script\");\r\n",
       "                script.setAttribute(\"src\", \"https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js\");\r\n",
       "                script.onload = function(){\r\n",
       "                    renderPlotly_91658bc3714d473d9da83b15af3757c0();\r\n",
       "                };\r\n",
       "                document.getElementsByTagName(\"head\")[0].appendChild(script);\r\n",
       "            }\r\n",
       "            else {\r\n",
       "                renderPlotly_91658bc3714d473d9da83b15af3757c0();\r\n",
       "            }\r\n",
       "</script>\r\n",
       "\n",
       "    \n",
       "</div>    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "// generates matrix of function values\n",
    "let sineWave = \n",
    "    Array.init 200 (fun i-> \n",
    "        Array.init 200 (fun j -> \n",
    "            let x = float (i - 100) / 10.\n",
    "            let y = float (j - 100) / 10.\n",
    "            sin(sqrt(x**2+y**2))\n",
    "        )\n",
    "    )\n",
    "\n",
    "let surfaceChart =\n",
    "    Chart.Surface(\n",
    "        sineWave,\n",
    "        ColorScale=Colorscale.Portland\n",
    "        )\n",
    "    // sets z axis name and range\n",
    "    |> Chart.withZAxisStyle(\"Amplitude\",MinMax=(-5.,5.))\n",
    "    // alters the \"Download plot\" button to export the plot as SVG \n",
    "    |> Chart.withConfig(Config.init(ToImageButtonOptions = ConfigObjects.ToImageButtonOptions.init(Format=ImageFormat.SVG)))\n",
    "surfaceChart"
   ]
  }
 ],
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